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10th Class Mathematics Coordinate Geometry Question Bank MCQs - Coordinate Geometry

  • question_answer
    The distance of the mid-point of the line segment joining the point \[(6,8)\] and \[(2,4)\] from the point \[(1,2)\]is:

    A) \[\text{3 units}\]

    B) \[\text{4 units}\]

    C) \[\text{5 units}\]

    D) \[\text{6 units}\]

    Correct Answer: C

    Solution :

    [c] Coordinates of mid-point of the line segment joining the points \[(6,8)\] and \[(2,4)\] are \[\left( \frac{6+2}{2},\frac{8+4}{2} \right)\] i.e., \[(4,6).\]
    Now, distance of \[(4,6)\] from \[(1,2)\]
    \[=\sqrt{{{(4-1)}^{2}}+{{(6-2)}^{2}}}=\sqrt{9+16}=5\]units.


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